Lehmerismic temperaments: Difference between revisions
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These are rank-3 temperaments tempering out [[3025/3024]], but we can begin by looking at the rank-4 temperament. | These are rank-3 temperaments tempering out [[3025/3024]], but we can begin by looking at the rank-4 temperament. | ||
Temperaments discussed elsewhere are: | |||
* [[Starling family #Oxpecker|Oxpecker]] | |||
* [[Valinorsmic temperaments #Manwe|Manwe]] | |||
* [[Marvel family #Spectacle|Spectacle]] | |||
* [[Gamelismic family #Portent|Portent]] | |||
* [[Mirkwai family #Indra|Indra]] | |||
* [[Tolermic family #Tolerant|Tolerant]] | |||
* [[Breed family #Freya|Freya]] | |||
* [[Hemimean family #Triglav|Triglav]] | |||
* [[Ragismic family #Thor|Thor]] | |||
* [[Hemifamity family #Kapo|Kapo]] | |||
= Lehmerismic = | = Lehmerismic = | ||
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[[Category:Regular temperament theory]] | [[Category:Regular temperament theory]] | ||
[[Category:Temperament]] | [[Category:Temperament collection]] | ||
[[Category:Lehmerismic]] | [[Category:Lehmerismic]] | ||
[[Category:Rank 3]] | [[Category:Rank 3]] | ||
Revision as of 07:40, 24 May 2021
These are rank-3 temperaments tempering out 3025/3024, but we can begin by looking at the rank-4 temperament.
Temperaments discussed elsewhere are:
Lehmerismic
Subgroup: 2.3.5.7.11
Comma list: 3025/3024
Mapping: [⟨1 0 0 0 2], ⟨0 1 0 1 2], ⟨0 0 1 0 -1], ⟨0 0 0 2 1]]
Mapping generators: ~2, ~3, ~5, ~55/36
Tyr
Subgroup: 2.3.5.7.11
Comma list: 3025/3024, 102487/102400
Mapping: [⟨3 0 0 4 8], ⟨0 2 0 -4 1], ⟨0 0 1 2 0]]
Mapping generators: ~63/50, ~400/231, ~5
Badness: 0.259 × 10-3
Skadi
Subgroup: 2.3.5.7.11
Comma list: 3025/3024, 703125/702464
Mapping: [⟨1 0 5 8 1], ⟨0 1 1 3 2], ⟨0 0 -6 -14 -1]]
Mapping generators: ~2, ~3, ~18/11
Badness: 0.349 × 10-3
Ganesha
Subgroup: 2.3.5.7.11
Comma list: 3025/3024, 5632/5625
Mapping: [⟨1 0 0 -22 -9], ⟨0 1 0 1 2], ⟨0 0 1 10 4]]
Mapping generators: ~2, ~3, ~5
Badness: 0.390 × 10-3
Hanuman
Subgroup: 2.3.5.7.11
Comma list: 3025/3024, 4000/3993
Mapping: [⟨1 2 0 -8 1], ⟨0 -3 0 11 1], ⟨0 0 1 4 1]]
Mapping generators: ~2, ~11/10, ~5
Badness: 0.500 × 10-3
13-limit
Subgroup: 2.3.5.7.11.13
Comma list: 625/624, 1575/1573, 2080/2079
Mapping: [⟨1 2 0 -8 1 -6], ⟨0 -3 0 11 1 3], ⟨0 0 1 4 1 4]]
Mapping generators: ~2, ~11/10, ~5
Vals: Template:Val list
Badness: 0.653 × 10-3